Two fan carts are in a race. Fan cart A has a uniform acceleration of 5 (cm/s)/s, and starts the race at + 50 cm from the origin, from rest (initial velocity of 0 cm/s). Fan cart B starts at the origin (0 cm) and from rest. You have the following position and time data for fan cart B. t (s) x (cm) 0.0 0.0 1.0 5.0 2.0 20.0 3.0 45.0 4.0 80.0 5.0 125.0 6.0 180.0 Determine to the nearest centimeter where fan cart B will pass fan cart A (where they are at the same position in cm). Include in your submission: 1 Graph showing the position v. time of both fan carts. Math model for BOTH fancarts (Position in cm = ....) Slope sentence and vertical intercept sentence for one of the fan carts. Another model of your choice (test plot, velocity-time graph, motion map, etc.).

Two fan carts are in a race. Fan cart A has a uniform acceleration of 5 (cm/s)/s, and starts the race at + 50 cm from the origin, from rest (initial velocity of 0 cm/s). Fan cart B starts at the origin (0 cm) and from rest. You have the following position and time data for fan cart B. t (s) x (cm) 0.0 0.0 1.0 5.0 2.0 20.0 3.0 45.0 4.0 80.0 5.0 125.0 6.0 180.0 Determine to the nearest centimeter where fan cart B will pass fan cart A (where they are at the same position in cm). Include in your submission: 1 Graph showing the position v. time of both fan carts. Math model for BOTH fancarts (Position in cm = ....) Slope sentence and vertical intercept sentence for one of the fan carts. Another model of your choice (test plot, velocity-time graph, motion map, etc.).

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